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Implementation and stability analysis of discrete-time filters for approximating frequency-dependent impedance functions in the time domain
AbstractThis work presents the implementation and stability analysis of a method to account for inertial soil-structure interaction (SSI) in time-history analyses, which is achieved by approximating nominally frequency-dependent foundation impedance functions in the time domain using discrete-time digital filters. The method is demonstrated using a multi-story shear building supported by a rigid disk foundation resting atop a uniform soil half-space and subjected to a horizontal ground motion. The soil-foundation-structure system's equations of motion are numerically integrated to determine its time-history response. The results are verified through comparison to those obtained both through frequency domain analyses and through sampling of the foundation impedance functions at a representative frequency. Numerical stability of the method is examined both analytically and numerically; and it was determined that the stability of the filter and the stability of the time-stepping method adopted do not guarantee that their combination will be stable as well.
HighlightsDiscrete-time representations of frequency-dependent impedance functions provided.These allow inelastic time-history analyses of soil-foundation-structure systems.Stability of combined discrete-time filters and Newmark time-stepping is examined.A stable filter plus a stable integrator do not guarantee overall stability.Filter approach is superior to state-of-practice method if superstructure is inelastic.
Implementation and stability analysis of discrete-time filters for approximating frequency-dependent impedance functions in the time domain
AbstractThis work presents the implementation and stability analysis of a method to account for inertial soil-structure interaction (SSI) in time-history analyses, which is achieved by approximating nominally frequency-dependent foundation impedance functions in the time domain using discrete-time digital filters. The method is demonstrated using a multi-story shear building supported by a rigid disk foundation resting atop a uniform soil half-space and subjected to a horizontal ground motion. The soil-foundation-structure system's equations of motion are numerically integrated to determine its time-history response. The results are verified through comparison to those obtained both through frequency domain analyses and through sampling of the foundation impedance functions at a representative frequency. Numerical stability of the method is examined both analytically and numerically; and it was determined that the stability of the filter and the stability of the time-stepping method adopted do not guarantee that their combination will be stable as well.
HighlightsDiscrete-time representations of frequency-dependent impedance functions provided.These allow inelastic time-history analyses of soil-foundation-structure systems.Stability of combined discrete-time filters and Newmark time-stepping is examined.A stable filter plus a stable integrator do not guarantee overall stability.Filter approach is superior to state-of-practice method if superstructure is inelastic.
Implementation and stability analysis of discrete-time filters for approximating frequency-dependent impedance functions in the time domain
Gash, Richard (author) / Esmaeilzadeh Seylabi, Elnaz (author) / Taciroglu, Ertugrul (author)
Soil Dynamics and Earthquake Engineering ; 94 ; 223-233
2017-01-15
11 pages
Article (Journal)
Electronic Resource
English
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A practical method to transform frequency dependent impedance to time domain
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